133116474960 has 720 divisors, whose sum is σ = 552290544000. Its totient is φ = 28133277696.

The previous prime is 133116474949. The next prime is 133116474961. The reversal of 133116474960 is 69474611331.

133116474960 is a `hidden beast` number, since 1 + 3 + 3 + 116 + 47 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133116474961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85936266 + ... + 85937814.

It is an arithmetic number, because the mean of its divisors is an integer number (767070200).

Almost surely, 2^133116474960 is an apocalyptic number.

133116474960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133116474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276145272000).

133116474960 is an abundant number, since it is smaller than the sum of its proper divisors (419174069040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133116474960 is a wasteful number, since it uses less digits than its factorization.

133116474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 133116474960 in words is "one hundred thirty-three billion, one hundred sixteen million, four hundred seventy-four thousand, nine hundred sixty".